Results 21 to 30 of about 582,641 (301)

On Invariant Graph Subspaces [PDF]

Integral Equations and Operator Theory, 2016
In this paper we discuss the problem of decomposition for unbounded $2\times 2$ operator matrices by a pair of complementary invariant graph subspaces. Under mild additional assumptions, we show that such a pair of subspaces decomposes the operator matrix if and only if its domain is invariant for the angular operators associated with the graphs.
Makarov, Konstantin A., Schmitz, Stephan, Seelmann, Albrecht   +2 more
openaire   +2 more sources

Invariant Subspaces, Quasi-invariant Subspaces, and Hankel Operators

Journal of Functional Analysis, 2001
The authors study algebraic properties of small Hankel operators on Bergman spaces of bounded symmetric domains \(\Omega\subset \mathbb{C}^n\). Here, the Bergman space \(L^2_a(\Omega)\) is the closed subspace of \(L^2(\Omega)\) consisting of analytic functions and the small Hankel operator \(\Gamma_\varphi\) with symbol \(\varphi\in L^2(\Omega)\) is ...
Guo, Kunyu, Zheng, Dechao
openaire   +2 more sources

Invariant Lagrangian subspaces [PDF]

Proceedings of the American Mathematical Society, 1988
It is proved that on Hilbert spaces with strong symplectic form, every symplectic operator I + C I +
openaire   +1 more source

Learning Koopman Eigenfunctions and Invariant Subspaces From Data: Symmetric Subspace Decomposition

IEEE Transactions on Automatic Control, 2019
This article develops data-driven methods to identify eigenfunctions of the Koopman operator associated with a dynamical system and subspaces that are invariant under the operator.
Masih Haseli, J. Cort'es
semanticscholar   +1 more source

MISA: Modality-Invariant and -Specific Representations for Multimodal Sentiment Analysis [PDF]

ACM Multimedia, 2020
Multimodal Sentiment Analysis is an active area of research that leverages multimodal signals for affective understanding of user-generated videos.
Devamanyu Hazarika, Roger Zimmermann, Soujanya Poria   +2 more
semanticscholar   +1 more source

Modeling Sampling in Tensor Products of Unitary Invariant Subspaces

Journal of Function Spaces, 2016
The use of unitary invariant subspaces of a Hilbert space H is nowadays a recognized fact in the treatment of sampling problems. Indeed, shift-invariant subspaces of L2(R) and also periodic extensions of finite signals are remarkable examples where this ...
Antonio G. García, Alberto Ibort, María J. Muñoz-Bouzo   +2 more
doaj   +1 more source

On some bounds on the perturbation of invariant subspaces of normal matrices with application to a graph connection problem

Journal of Inequalities and Applications, 2022
We provide upper bounds on the perturbation of invariant subspaces of normal matrices measured using a metric on the space of vector subspaces of C n $\mathbb{C}^{n}$ in terms of the spectrum of both unperturbed and perturbed matrices as well as the ...
Subhrajit Bhattacharya
doaj   +1 more source

An invariant subspace problem for multilinear operators on Banach spaces and algebras

Journal of Inequalities and Applications, 2016
This paper is concerned with the study of invariant subspace problems for nonlinear operators on Banach spaces/algebras. Our study reveals that one faces unprecedented challenges such as lack of vector space structure and unbounded spectral sets when ...
John Emenyu
doaj   +1 more source

Invariant Subspaces: An Alternative for Introducing Eigenvectors and Eigenvalues

Annales de Didactique et de Sciences Cognitives, 2023
The concepts of eigenvalue and eigenvector are typically approached algorithmically in introductory linear algebra courses. However, a more conceptual orientation involves connecting these notions to the concept of one-dimensional invariant subspace ...
Gisela Camacho, Asuman Oktaç
doaj   +1 more source

Invariant subspaces in the polydisk [PDF]

Pacific Journal of Mathematics, 1986
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Agrawal, O. P., Clark, D. N., Douglas, R. G.   +2 more
openaire   +3 more sources